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Simplifying 10x2 = -1x4 + x2 Reorder the terms: 10x2 = x2 + -1x4 Solving 10x2 = x2 + -1x4 Solving for variable 'x'. Combine like terms: 10x2 + -1x2 = 9x2 9x2 + x4 = x2 + -1x4 + -1x2 + x4 Reorder the terms: 9x2 + x4 = x2 + -1x2 + -1x4 + x4 Combine like terms: x2 + -1x2 = 0 9x2 + x4 = 0 + -1x4 + x4 9x2 + x4 = -1x4 + x4 Combine like terms: -1x4 + x4 = 0 9x2 + x4 = 0 Factor out the Greatest Common Factor (GCF), 'x2'. x2(9 + x2) = 0Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}Subproblem 2
Set the factor '(9 + x2)' equal to zero and attempt to solve: Simplifying 9 + x2 = 0 Solving 9 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + x2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + x2 = 0 + -9 x2 = 0 + -9 Combine like terms: 0 + -9 = -9 x2 = -9 Simplifying x2 = -9 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
x = {0}
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